Research Explorer

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Researcher

Karel Van Bockstal

Publications & Research Data

Awards & Distinctions

83 Results

2026

A time-dependent inverse source problem for a semilinear pseudo-parabolic equation with Neumann boundary condition

Karel Van BockstalKhonatbek Khompysh

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

Rothe’s method in direct and time-dependent inverse source problems for a semilinear pseudo-parabolic equation

Karel Van BockstalKhonatbek KhompyshArshyn Altybay

A1 Journal Article in INVERSE PROBLEMS

2025

Direct and inverse problems for partial differential equations in models of heat and thermoelasticity

Frederick MaesDenis ConstalesMarian SlodickaKarel Van Bockstal

Inverse problems : modelling and simulation : extended abstracts of the IPMS Conference 2024

Numerical algorithms for the reconstruction of space-dependent sources in thermoelasticity

Frederick MaesKarel Van Bockstal

A1 Journal Article in MATHEMATICS AND COMPUTERS IN SIMULATION

On time‐fractional partial differential equations of time‐dependent piecewise constant order

Yavar KianMarian SlodickaÉric SoccorsiKarel Van Bockstal

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Time-fractional diffusion equations of piecewise constant time-varying order

Yavar KianMarian SlodickaÉric SoccorsiKarel Van Bockstal

2024

A note on a Capelli operator and its resonance

Roberto Bramati

A note on boundedness properties of pseudo-differential operators on rank one symmetric spaces of noncompact type

A numerical scheme for solving an induction heating problem with moving non-magnetic conductor

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

An estimate for the multivariate Mittag-Leffler function

Frederick MaesKarel Van Bockstal

Boundedness of Fourier multipliers on fundamental domains of lattices

Extended abstracts 2021/2022 : Ghent Analysis and PDE Seminar

Inverse problem of determining a time-dependent source in a fractional Langevin-type partial differential equation

Bakhodirjon Toshtemirov

Inverse problems for time-fractional mixed equation involving the Caputo fractional derivative

Erkinjon KarimovNiyaz TokmagambetovShokhzodbek Khasanov

Inverse source problems in thermoelasticity

Karel Van Bockstal

L^p-L^q norms of spectral multipliers

David Rottensteiner

Log-Sobolev and Nash inequalities on graded groups

Marianna Chatzakou

Logarithmic Sobolev inequalities of fractional order on noncommutative tori

Modern problems in PDEs and applications : extended abstracts of the 2023 GAP Center Summer School

On a mixed equation involving Prabhakar fractional order integral-differential operators

Erkinjon KarimovNiyaz TokmagambetovMuzaffar Toshpulatov

On inverse source problems for space-dependent sources in thermoelasticity

Frederick MaesKarel Van Bockstal

Performing particle image segmentation on an extremely small dataset

Marianna ChatzakouJunqing HuangBogdan ParakhonskiyMichael RuzhanskyAndre SkirtachJunnan SongXuechao Wang

Schatten-von Neumann classes Sp on the torus for 0 < p ≤ 2

Duvan Cardona Sanchez

Text matching as time series matching

The unitary dual of the Heisenberg group over Rp

Juan Pablo Velasquez Rodriguez

2023

An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay

M.A. ZakyKarel Van BockstalT.R. TahaD. SuraganA.S. Hendy

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation

Frederick MaesKarel Van Bockstal

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

On the Rothe-Galerkin spectral discretization for a class of variable fractional-order nonlinear wave equations

Karel Van BockstalMahmoud A. ZakyAhmed Hendy

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

Space-dependent variable-order time-fractional wave equation : existence and uniqueness of its weak solution

Karel Van BockstalA.S. HendyM.A. Zaky

A1 Journal Article in QUAESTIONES MATHEMATICAE

Theoretical and numerical aspects for the longtime behavior of nonlinear delay time Caputo fractional reaction-diffusion equations

Ahmed S. HendyMahmoud A. ZakyKarel Van Bockstal

A1 Journal Article in NONLINEAR DYNAMICS

2022

A full discretization for the saddle-point approach of a degenerate parabolic problem involving a moving body

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICS LETTERS

A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions

A. S. HendyKarel Van Bockstal

A1 Journal Article in NUMERICAL ALGORITHMS

A space-time discretization for an electromagnetic problem with moving non-magnetic conductor

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in APPLIED NUMERICAL MATHEMATICS

Advanced mathematical and numerical analysis of induction hardening of steel

Van Chien LeMarian SlodickaKarel Van Bockstal

Existence of a weak solution to a nonlinear induction hardening problem with Leblond–Devaux model for a steel workpiece

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III

Karel Van BockstalLiviu Marin

A1 Journal Article in ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions

A. S. HendyKarel Van Bockstal

A1 Journal Article in JOURNAL OF SCIENTIFIC COMPUTING

On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction–diffusion equation with delay

Karel Van BockstalMahmoud A. ZakyAhmed S. Hendy

A1 Journal Article in COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

The identification of a time-dependent source in a time-fractional diffusion equation with non-smooth solutions

Karel Van Bockstal

Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems

Frederick MaesKarel Van Bockstal

A1 Journal Article in JOURNAL OF INVERSE AND ILL-POSED PROBLEMS

2021

A time discrete scheme for an electromagnetic contact problem with moving conductor

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order

Karel Van Bockstal

A1 Journal Article in ADVANCES IN DIFFERENCE EQUATIONS

Thermoelastic problem in the setting of dual-phase-lag heat conduction : existence and uniqueness of a weak solution

Frederick MaesKarel Van Bockstal

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Uniqueness for inverse source problems of determining a space-dependent source in time-fractional equations with non-smooth solutions

Karel Van Bockstal

A1 Journal Article in FRACTAL AND FRACTIONAL

2020

Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order)

Karel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICS LETTERS

Existence of a unique weak solution to a nonlinear non-autonomous time-fractional wave equation (of distributed-order)

Karel Van Bockstal

A1 Journal Article in MATHEMATICS

The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler–Bernoulli beam

Marijke GrimmonprezLiviu MarinKarel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICAL MODELLING

2019

Advanced COmputational Methods in ENgineering (ACOMEN 2017)

Marian SlodickaKarel Van BockstalIuliu Sorin PopChristophe GeuzaineRob De Staelen

Editorial material

Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state

Karel Van Bockstal

A1 Journal Article in JOURNAL OF INVERSE AND ILL-POSED PROBLEMS

Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation

Marian SlodickaKatarina ŠiškováKarel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICS LETTERS

2018

Reconstruction of a spatial load distribution in an Euler-Bernoulli beam from the final state

Karel Van Bockstal

Reconstruction of a temporial load distribution in an Euler-Bernoulli beam

Karel Van Bockstal

The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method

T. KangKarel Van BockstalR. Wang

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

2017

ACOMEN 2017 : book of abstracts

Data-driven discovery of the nonlinear dynamics in an electromechanical drivetrain using mixed norm inverse solver

Guillaume Crevecoeur

Error estimates for the time discretization of a semilinear integrodifferential parabolic problem with unknown memory Kernel

Marijke GrimmonprezKarel Van BockstalMarian Slodicka

A1 Journal Article in NUMERICAL MATHEMATICS : THEORY, METHODS AND APPLICATIONS

Identification of a memory kernel in a nonlinear integrodifferential parabolic problem

Karel Van BockstalMarian SlodickaFien Gistelinck

A1 Journal Article in APPLIED NUMERICAL MATHEMATICS

Recovery of a space-dependent vector source in anisotropic thermoelastic systems

Karel Van BockstalLiviu Marin

A1 Journal Article in COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III

Karel Van BockstalMarian Slodicka

A1 Journal Article in INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

The identification of a space-dependent load source in anisotropic thermoelastic systems

Karel Van Bockstal

The identification of a space-dependent load source in isotropic thermoelastic systems : numerical experiments

Karel Van Bockstal

The reconstruction of a time-dependent source from a surface measurement for full Maxwell’s equations by means of the potential field method

Karel Van Bockstal

2016

Recovery of a space-dependent vector source in an anisotropic thermoelastic system

Karel Van BockstalLiviu MarinMarian Slodicka

2015

A macroscopic model for an intermediate state between type-I and type-II superconductivity

Karel Van BockstalMarian Slodicka

A1 Journal Article in NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Determination of a time-dependent diffusivity in a nonlinear parabolic problem

Karel Van BockstalMarian Slodicka

A1 Journal Article in INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination

Rob De StaelenKarel Van BockstalMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Error estimates for the full discretization of a nonlocal parabolic model for type-I superconductors

Karel Van BockstalMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Identification of a memory kernel in a nonlinear parabolic integrodifferential problem

Karel Van BockstalMarian SlodickaFien Gistelinck

Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory

Karel Van BockstalRob De StaelenMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Numerical techniques for partial differential equations in superconductivity and thermoelasticity

Karel Van BockstalMarian Slodicka

Recovery of a space-dependent vector source in thermoelastic systems

Karel Van BockstalMarian Slodicka

A1 Journal Article in INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

The well-posedness of a nonlocal hyperbolic model for type-I superconductors

Karel Van BockstalMarian Slodicka

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2014

A nonlocal parabolic model for type-I superconductors

Marian SlodickaKarel Van Bockstal

A1 Journal Article in NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Error analysis in the kernel reconstruction in a semilinear parabolic problem with integral overdetermination

Karel Van BockstalRob De StaelenMarian Slodicka

Recovery of a space-dependent vector source in a thermoelastic system with memory effects

Karel Van BockstalMarian Slodicka

The well-posedness of a mathematical model for an intermediate state between type-I and type-II superconductivity

Karel Van BockstalMarian Slodicka

2013

Determination of an unknown diffusion coefficient in a semilinear parabolic problem

Karel Van BockstalMarian Slodicka

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Error estimates for the full discretization of a nonlocal model for type-I superconductors

Karel Van BockstalMarian Slodicka

2012

Nonlocal problems for superconductivity

Karel Van BockstalMarian Slodicka

Nonlocal problems for superconductivity

Karel Van BockstalMarian Slodicka

2011

Determination of an unknown diffusion coefficient in a parabolic problem

Karel Van Bockstal